Question

tiny cones of radius 5 cm and height 12 cm. Find the slant height of the cone and How much cloth is required to cover one such cone?​

Answer 1

Given:-

•Radius of a tiny cones is 5cm.

•Height of a tiny cones is 12 cm.

To Find:-

•Slant height of the cone

Solution:-

we have,

• r = 5cm
• h = 12 cm

Using Formula:

$\: \: \sf \: slant \: height = \sqrt{ {r}^{2} + {h}^{2} }$

Now substitute the known values,

$\: \: \sf \: slant \: height = \sqrt{ {5}^{2} + {12}^{2} } \\ \\ \: \: \sf \: slant \: height = \sqrt{25 + 144} \\ \\ \: \: \sf \: slant \: height = \sqrt{169} \\ \\ \: \: \sf \: slant \: height = 13cm$

Henceforth,Slant height of tiny cones is 13 cm.

_____________________________________

Extra Info....

$\: \: \sf \implies \: volume \: of \: cone = \frac{1}{3} \pi \: {r}^{2} \\ \\ \: \: \sf \implies \: total \: surface \: area \: of \: cone = \pi \: rl + \pi \: {r}^{2} \\ \\ \: \: \sf \implies \: total \: surface \: area \: of \: cone= curved \: surface \: area + area \: of \: circular \: base \\ \\ \: \: \sf \implies \: curved \: surface \: area \: of \: right \: circular \: cone = \pi \: rl$